Engineering Mathematics (Vector Calculus, Laplace Transforms, Differential Equations, Complex Integration)

From 26 £ /h

I hold a PhD in Mechanical Engineering and currently work as a post-doctoral researcher in the Aerospace Engineering Faculty at TU Delft (Delft University of Technology).
Key topics that I teach for this course include:
• Calculus: Differentiation & integration, Multivariable calculus
• Linear Algebra: Matrices, vectors, systems of equations, Eigenvalues and eigenvectors
• Differential Equations: First- and second-order ODEs, Laplace transforms
• Complex Numbers: Polar form, Euler’s formula
• Vector Calculus: Gradient, divergence, curl, Line and surface integrals
• Series & Transforms: Taylor series, Fourier series

I understand that not all teachers excel in teaching Engineering and Mathematics courses and explaining their importance to students. Courses with strong mathematical backgrounds may become boring for students who lack a solid mathematical basis. To address this, I take a student-centered approach, starting from the basics to actively engage all students, including those with weaker mathematical backgrounds. I also provide practical examples to demonstrate the real-world significance of what they are learning, inspiring and fostering their interest in the subject matter.

If you have any additional questions before starting a class, please feel free to ask me. I am here to assist! :)

Location

Online from Netherlands

About Me

I am currently a postdoctoral researcher at Delft University of Technology

I like sharing my knowledge with others. I believe that teaching makes the knowledge I have acquired as a researcher much more valuable. In my idea, successful teachers have several qualities including knowledge, enthusiasm, and student-based teaching methods.

Education

PhD: Mechanical Engineering, Applied Design, 2016
Masters degree: Mechanical Engineering, Applied Design, 2011
Bachelors degree: Mechanical Engineering, Solid mechanics, 2008

Experience / Qualifications

My university teaching experience:
- Lecturer of Mechanical Engineering Design I, Materials Science, Dynamics, Engineering
Mathematics, Engineering Drawing I and II, Mechanics of Materials I and II
- Teaching assistant of Statics, Linear vibration, and Engineering drawing

Age

Adults (18-64 years old)

Seniors (65+ years old)

Student level

Beginner

Intermediate

Advanced

Duration

60 minutes

90 minutes

120 minutes

The class is taught in

English

Persian

Skills

Math

Calculus

Mechanical engineering

Reviews

Availability of a typical week

(GMT -04:00)

New York

Online via webcam

Mon

Tue

Wed

Thu

Fri

Sat

Sun

00-04

04-08

08-12

12-16

16-20

20-24

LS-DYNA, ANSYS, MATLAB, ABAQUS, SolidWorks, and Finite Element Modelling (FEM) for Mechanical Engineering Design

25 £ /h

I hold a PhD in Mechanical Engineering and currently, I am working as a post-doctoral researcher in the Aerospace Engineering Faculty at TU Delft (Delft University of Technology).

I have extensive experience in teaching various Mechanical design packages, including LS-DYNA, ANSYS, APDL programming, ABAQUS, MATLAB, SolidWorks, Cura, and Symbolic MATLAB.

Some of the finite element modeling and numerical simulations I have worked on include:
- Multiscale finite element modeling for fatigue crack propagation in porous materials.
- Analysis of multiple-layer sandwich structures' resistance to bird-strike impact [Read paper].
- Investigation of debonding propagation in aluminum and glass/epoxy composite joints under fatigue loading using Fracture Mechanics principles.
- Computational prediction of the fatigue behavior of additively manufactured porous metallic biomaterials.
- Study of the effect of material type, stacking sequence, and impact location on pedestrian head injury in collisions.

If you have any additional questions before starting the class, please don't hesitate to ask me. I am here to help! :)

Systematic Reasoning and Logical Thinking for Computer Science

26 £ /h

You will learn Systematic Reasoning & Logical Thinking which is a requirement for entering Computer Science program in many universities.
The book “Delftse Foundations of Computation” especially its second chapter will be the main source of our lesson, but other more in-depth books will be also covered if you want to improve even further on logical thinking.
The topics in our lesson include:
• Propositional Logic: Logical operators; Precedence rules; Logical equivalence; Implications in English; Exclusive or; Universal operators; Classifying propositions
• Boolean Algebra: Substitution laws
• Logic Circuits: Logic gates; Combining gates to create circuits; From circuits to propositions; Disjunctive Normal Form; Binary addition.
• Predicate Logic: Predicates; Quantifiers; Tarski’s world and formal structures;
• Deduction: Valid arguments and proofs; Proofs in predicate logic

If you have any additional questions before starting a class, please feel free to ask me. I am here to assist! :)

Benoit

5.0

(41)

I am a qualified and experienced mathematics tutor. Graduated from the Free University of Brussels in 2011, I started my career by teaching remedial courses in different schools in Brussels. I then specialized in individual academic support by following educational training at the Harvard Graduate School of Education. I have been giving private mathematics lessons daily for over ten years.

The students who follow my private lessons benefit from personalized support. The first session is devoted to an in-depth assessment of the student's mathematical knowledge. The objective is to detect its weak points and understand their origin in order to adapt my courses to its needs. I develop a tailor-made remediation program for each of my students aimed at filling each of their gaps. Over the course of the sessions, the student builds a solid foundation for learning and regains self-confidence. At the same time, I help him acquire a work methodology that allows him to gradually become autonomous in his studies.

I have a thorough knowledge of the mathematics curriculum for middle and high school (from 6th to 12th grade). I am also qualified to support students in preparing for international exams such as the SAT, the OMPT, and the International Baccalaureate (IB) in all its variations: Analysis and Approaches (AA SL/HL) and Applications and Interpretation (AI SL/HL).

Throughout my years of training, I studied and developed numerous techniques that facilitate learning mathematics. The strength of my teaching approach lies in my ability to explain, in simple terms, anything a student finds complicated. I am passionate about this profession because it offers me the opportunity to guide struggling students toward success. It is a true pleasure to see them progress and rediscover their connection with the fascinating world of mathematics.

I offer private tutoring in Paris (at the student's home) or remotely (online). My online lessons take place on an interactive whiteboard. This whiteboard is specifically designed to facilitate student/teacher interaction online. Thanks to this teaching tool, my online lessons are just as effective as in-person lessons. The student only needs an internet connection and a computer, tablet, or smartphone to participate.

Narayan

5.0

(41)

*Note: My availability on Apprentus may not be up to date. Please contact me to check my current availability.

I am a MSc in Civil Engineering, M.Sc in Finance and Economics, and an MBA graduate with over 14 years of experience teaching Mathematics up to the undergraduate level. Over the years, I have worked with a wide range of students and have successfully helped them excel in their studies. In addition to my extensive teaching background, I have more than 7 years of experience guiding students through standardized tests such as the GRE and SAT. My goal is to help you master these tests with effective strategies and a clear understanding of the subject matter.

My Mathematics lessons are tailored for students of all levels, including:
Master and Bachelor Students (subjects like Financial Mathematics, Business Mathematics, Basics of Mathematics for data science students, etc)
Pre-university students
IB (Math SL and Math HL) students
AS/A-level students
European S6 and S7 students
GCSE and IGCSE students
Primary school students

In addition to Mathematics, I also offer tutoring in Physics and Chemistry for students up to the European upper secondary level, as well as IB and A-level students.

For Biology, I provide comprehensive lessons for students up to the European Secondary level, GCSE, and IGCSE levels. My teaching style is flexible and adaptable, ensuring that every student receives personalized guidance based on their learning style and goals.

Currently, I am teaching a diverse group of students from different educational backgrounds.

My current students are from the following schools:

National:
1. St Georges International School, Luxembourg, Edexcel (Pearson) Curriculum (10 students)
2. International School of Luxembourg, Luxembourg, IB Curriculum (6 Students)
3. Lycée Athénée de Luxembourg, Luxembourg, IB Curriculum (4 Students)
4. Lycée - International School Michel Lucius, Luxembourg, Cambridge Curriculum (6 Students)
5. European School Kirchberg, Luxembourg, European Curriculum (4 students)
6. Lycée Aline Mayrisch, Luxembourg, Luxembourgish curriculum (1 student)
7. Lënster Lycée International School, Luxembourg, European Curriculum (2 Students)

International:
8. International School of the Hague, Netherlands, IB Curriculum (1 student)
9. International School Of Nice, France, IB Curriculum (2 students)
10. Merchiston Castle School, Edinburgh, Scotland, Edexcel (Pearson)/Cambridge (1 students)
11. Silverline Private School, Limassol, Cyprus, UK national Curriculum (1 Student)
12. North Broward Preparatory School, Florida, USA, IB Curriculum (1 Student)
13. King Solomon School, Israel, IB Curriculum (1 student)
14. The European School of Bergen, The Netherlands, European Curriculum (1 student)

Additionally, I offer homework assistance and track each student's progress through periodic assessments, which can be scheduled based on the requirements of both students and parents.

Note: While some of my students follow curriculums in French, German, or Swedish, my primary language of instruction is English. Given that Mathematics is a universal language, it’s easy to understand the tasks, and I explain solutions clearly in English, ensuring a seamless learning experience for all.

Let’s embark on this learning journey together and achieve your academic goals with confidence!

Raef

5.0

(41)

A qualified and experienced teacher offers private tutoring at home or online in Mathematics, Analysis, Matrices, Statistics, Algebra, Physics, Chemistry, Biology, and Geology, covering the French or International Baccalaureate (IB) curriculum in English. He teaches students in their final year of high school (Terminal), penultimate year of high school (Première), second year of high school (Seconde), and those preparing for competitive entrance exams (Brevet), as well as university preparatory classes. Online lessons are delivered using a modern, specialized, and professional method via a shared platform accessible on laptops or tablets, with Zoom.
You can contact me for details.
I practice teaching since I was a student where I was first in my class.
Preparing CNED homework
My online student results were with VERY GOOD, GOOD AND EXCELLENT grades.
Do not hesitate to contact me for more information, guaranteed response in a few minutes up to 10 hours maximum.

Christopher

5.0

(41)

I specialize in online physics and maths tutoring for A-Level and GCSE level students. I aim to give fun and engaging tutorial sessions, lifting problems out of the textbook and applying them to the world around us. My tutoring is flexible and I will adapt lessons to the needs of the student.

My background is in engineering and I am currently a PhD researcher in aerospace specializing in spacecraft propulsion and plasma physics. I have also been awarded a NASA Fellowship invitation.

Khalil

5.0

(41)

If you’ve ever felt that science and math are difficult, it’s probably because no one showed you how to think like a problem solver.
In my classes, you’ll learn not just formulas or code but how to truly understand concepts, apply them, and build strong logical intuition.

I teach:
• 🔢 Mathematics: From algebra and calculus to applied problem-solving for real-world use.
• 💻 Computer Science: Coding fundamentals (Python, C++), algorithms, and logical thinking for beginners and intermediate learners.
• ⚛️ Physics: Mechanics, thermodynamics, and practical examples that make abstract ideas simple and visual.

As a Software Engineer and Master’s student in Engineering at Nagoya University, I bring both academic knowledge and hands-on experience from real projects. My teaching approach is interactive, visual, and deeply focused on understanding over memorization.

Let’s turn complex problems into clear, step-by-step insights — and make learning something you genuinely enjoy.

Rayen

5.0

(41)

Hello and welcome! 👋

Is your child struggling with math, lacking confidence, or simply looking to consolidate their knowledge? I offer online private math tutoring tailored to elementary, middle, and high school students.

🎯 Each lesson is personalized according to the student's level, difficulties, and objectives. My goal is not only to find the right answer, but above all to enable them to understand the method and gradually become independent.

During the sessions, we can work on:

understanding the course;
school homework and exercises;
the difficulties encountered in class;
mental arithmetic and the essential basics;
fractions, decimal numbers and percentages;
geometry;
algebra and equations;
proportionality and the problems;
preparation for tests and exams;
upgrading and consolidating acquired skills.

📚 My method: understand → practice → correct → progress

I use simple explanations, concrete examples, and exercises of increasing difficulty. When the student makes a mistake, we work together to understand why so that they don't repeat it.

For younger children, I can also offer more playful exercises tailored to their interests, in order to maintain their attention and motivation.

💻 100% online course via webcam
🎯 Program tailored to each student
✏️ Personalized exercises
📈 Progress tracking
⏰ Flexible hours
📚 Primary – Middle School – High School

Whether it's to catch up on gaps in knowledge, improve results, prepare for a test or get ahead, I adapt to the pace and needs of each student.

Please feel free to contact me, indicating the student's grade level, their difficulties, and your objectives. This will allow us to implement a tailored support plan from the very first session.

See you soon! 🌟📐
Rayen

David

5.0

(41)

I am a Math and Physics tutor with over 10 years of experience, backed by an MIT background and training from top technical schools. My lessons are unmatched, blending charisma, passion, and innovative teaching methods to create a magical learning experience. I focus on highly personalized, one-on-one sessions, understanding each student’s unique mindset to unlock their full potential.

Teaching is my true passion! I genuinely enjoy sharing my knowledge and skills with those in need. My friendly and supportive attitude allows me to establish a connection with every student right from the first lesson. So, if you're feeling demotivated and down, don't worry! I'm here to help you find the motivation you need for both academic and personal success.

If you have any questions, please feel free to contact me anytime here. I will respond to you as soon as possible!

Bibek

5.0

(41)

Hi! Welcome! I am a Ph.D. researcher in Physics at the University of Cologne, Germany. Recently, I graduated from the University of Groningen in the Netherlands with a Master's degree in Nanoscience (w/ cum Laude). I offer private tutoring (for high school and/or university-level students) so you can understand the fundamental concepts and excel in your studies. I have teaching experience of 5+ years in Physics and Mathematics to the high school and university-level students.

This class aims to prepare you for the CCVX and James Boswell entrance examination in Mathematics A and/or B so that you can enter the university. This course will be tailored to your specific needs, and we can mainly focus on the topics you are struggling with. Furthermore, please feel free to contact me and suggest any other topics you would like me to cover and teach.

Topics of the course:
1. Algebra and combinatorics
2. Functions and their graphs
3. Trigonometric functions
4. Logarithmic functions
5. Inverse functions
6. Transformations
7. Coordinate geometry
8. Quadratic equations
9. Equalities and inequalities
10. Vector and the dot product
11. Vector representation of a line
12. Algebraic methods in planar geometry
13. Parametric equations
14. Sequence and series
15. Limits and asymptotes
16. Derivatives and integral calculus
17. Probability and statistics
18. Normal and binomial distribution
19. Hypothesis testing

And many more...

*Note that the sessions will be held online (via Discord/Zoom/Microsoft Teams).

Salah

5.0

(41)

As a teaching professional, I have always enjoyed sharing my knowledge. My goal is to provide quality education. I am aware that some topics may seem complex, but often this is simply the result of an inadequate explanation by the teacher. With me, you will discover a real interest in the material!

We strive together to achieve academic excellence, overcoming the shortcomings and difficulties encountered by your child. Studies will become a pleasant experience for him. In addition to the courses, I can also help with school orientation, identifying their preferences and highlighting the advantages and benefits of a fulfilling educational ambition.

The sessions generally take place according to the following stages:

1️⃣ The first sessions are devoted to the assessment of the student's level in order to detect existing gaps.

2️⃣ Next, we create a personalized plan to address these gaps, including the number of hours of work needed, specific areas to focus on, and appropriate training and development exercises.

3️⃣ We stay in constant contact with the student's class teacher, to keep up to date with the latest requirements and ensure a consistent approach.

4️⃣ Subsequently, I provide exams similar to those that are likely to be asked in class, to prepare the student effectively.

5️⃣ Upon request, I write a regular report, usually monthly, to keep parents informed of their child's progress throughout their course.

I adapt my methodology according to the specific needs of each student, thus offering them a personalized and adapted work approach.

In addition, I offer crash courses for students preparing for the start of the school year, allowing them to start the year well prepared, with a solid lead on the school curriculum.

If you have any questions, do not hesitate to contact me. I will be happy to help you.

Baia

5.0

(41)

I work with two kinds of students: those preparing to meet university math admission requirements (OMPT, CCVX, VWO), and those already enrolled who need solid support in calculus, linear algebra, differential equations, probability & statistics, or discrete math including students at TUM, ETH Zurich, TU Delft, KTH, EPFL, and RWTH Aachen.
Lessons are in English; I can explain in German where it helps.

Stephen

5.0

(41)

Welcome to my profile.
I am an experienced mathematics and science teacher with over seven years of experience helping students strengthen their understanding, improve their results and become more confident, independent learners.
My lessons are designed for students and families who value high-quality, well-prepared and personalised teaching. Rather than offering a one-size-fits-all course, I adapt each lesson to the student’s level, objectives, school programme and learning style.
I teach students who need to rebuild essential foundations as well as those working on advanced topics, examinations or demanding international programmes such as the European Baccalaureate and International Baccalaureate, as well as, the various Belgian programs.

◆ MY TEACHING APPROACH ◆

• • Initial assessment • •
We begin by identifying the student’s current level, strengths, difficulties and academic objectives.

• • Personalised lesson planning • •
Each student receives a structured learning approach based on their specific needs, curriculum and pace of progress.

• • Clear and accessible explanations • •
Complex concepts are broken down into logical, manageable steps, with visual representations and carefully selected examples.

• • Active problem-solving • •
Students are encouraged to think, explain their reasoning and develop reliable methods for approaching unfamiliar questions.

• • Targeted practice • •
Exercises are selected to address specific weaknesses, consolidate knowledge and prepare effectively for tests and examinations.

• • Regular review and feedback • •
Previously studied material is revisited when necessary, and clear feedback is provided to help the student understand what has improved and what still requires attention.

◆ WHAT YOU CAN EXPECT ◆

Professionalism and reliability are central to my work:
• • Lessons prepared in advance and tailored to the student
• • Punctual and well-structured sessions
• • Patient, respectful and focused teaching
• • Clear explanations without unnecessary complication
• • Constructive and timely feedback
• • Adaptation based on the student’s progress
• • A serious learning environment that remains supportive and encouraging

My objective is not simply to help students complete exercises. I aim to help them understand the underlying concepts, develop stronger reasoning skills and gain the confidence required to work more independently.

Mathematics and science can appear difficult when important foundations are missing or when explanations are poorly adapted to the learner. With the right structure, guidance and practice, these subjects become far more logical, accessible and rewarding.

Prashil

5.0

(41)

Welcome to my Maths, Physics and Science tutoring class, crafted especially for young minds preparing for IB MYP, IGCSE, and GCSE exams. As a passionate learner and dedicated tutor, I am committed to helping students not only comprehend but also develop a love for these captivating subjects. Here's what you can anticipate from my tutoring sessions

Personalised Learning: Every learner is unique, and I believe in tailoring my teaching methods to suit each student's individual needs. I don't judge; instead, I concentrate on understanding their strengths and areas for improvement to create a supportive and encouraging learning environment.

Concept Breakdown: I dissect complex topics into simpler, more manageable parts, making it easier for students to grasp challenging concepts and build a strong foundation in Physics and Science.

Student-Centred Approach: I enjoy teaching students and continually strive to ignite their curiosity and passion for learning. I aim to make each lesson engaging and enjoyable, helping students recognise the real-world applications of what they learn.

Shared Strategies: As a student who has successfully qualified for the Engineering Entrance exam test and is currently studying abroad on a fully funded scholarship, I bring my own learning strategies and study techniques to the table. These proven methods will help students achieve their academic goals.

Continuous Improvement: I am always learning and growing, just like my students. This continuous improvement mindset, which I actively promote, inspires and motivates students to strive for their best. It enables me to stay updated with the latest educational trends and techniques, ensuring that my students receive the best possible guidance.

Supportive Environment: I encourage students to ask questions, no matter how trivial they might seem. By creating a friendly and comfortable atmosphere, I ensure that students feel comfortable and open to express their doubts and curiosities, leading to a deeper understanding of the subjects.

Eugene

5.0

(41)

I am a 2021 IGCSE graduate and a 2023 IB graduate, now studying Veterinary Medicine at the University of Edinburgh. Having recently completed these programmes myself, I understand the challenges students face and how to overcome them effectively.

With 3 years of experience teaching the IGCSE and IB syllabus, I specialize in helping students master subject content, strengthen exam techniques, and build confidence. My lessons are tailored to each learner’s pace and goals, ensuring steady progress and measurable results.

What I offer:
- IB & IGCSE syllabus coverage across core and extended levels
- Exam preparation with past paper practice and detailed feedback
- Structured guidance for Internal Assessments (IA), Extended Essays (EE), and coursework
- Study and time-management strategies designed to reduce stress and boost performance
- A supportive, relatable learning environment from someone who has recently been through the same exams successfully

Ali

5.0

(41)

I offer one-to-one Maths tuition for GCSE, A-Level, and university students, both online and in person around Birmingham. Whether your child is struggling with the basics, preparing for upcoming exams, or aiming for top grades, I tailor every lesson to where they actually are — not where a textbook assumes they should be.

What I cover:

GCSE Maths (all exam boards — AQA, Edexcel, OCR)
A-Level Maths and Further Maths
University-level Maths for engineering and science students
Specific topics: algebra, trigonometry, calculus, statistics, mechanics, logic

How I teach:
I break difficult concepts down into simple steps, use plenty of worked examples, and give students clear practice between sessions. I'm patient with mistakes, encouraging when things feel hard, and honest about what needs work. Lessons are structured but relaxed students should feel comfortable asking "silly" questions, because those are usually the most important ones.
Exam season is right now, so if your child has GCSEs or A-Levels coming up, the next few weeks are the most important time to get focused support. I have limited slots available and can usually start within a few days.

Yamamura

5.0

(41)

This course is designed for learners who want to improve their Japanese in a fun and practical way. Whether you are a complete beginner or already have some knowledge of Japanese, I will tailor the lessons to your level and goals.
You'll learn useful Japanese expressions, vocabulary, grammar, and everyday conversation skills. We can also practice speaking through real-life situations, so you can become more confident using Japanese in your daily life.
My goal is to make each lesson comfortable, enjoyable, and useful, while helping you steadily improve your Japanese skills.